simple example of composed conformal mapping
Let’s consider the mapping
where and are complex and .
Because , the mapping is conformal in the whole -plane. Denote (where ) and
Then the mapping means a dilation in the complex plane, the mapping a rotation by the angle and the mapping a translation determined by the vector from the origin to the point . Thus is composed of these three consecutive mappings which all are conformal.
|Title||simple example of composed conformal mapping|
|Date of creation||2013-03-22 16:47:25|
|Last modified on||2013-03-22 16:47:25|
|Last modified by||pahio (2872)|